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Finding the Fourth Proportional to 422.78, 582.62 and 282.74

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Solution

The fourth proportional to 422.78, 582.62 and 282.74 is: 389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.78 : 582.62 = 282.74 : x
  2. Step 2: Convert to fraction form
    422.78/582.62 = 282.74/x
  3. Step 3: Cross multiply
    422.78x = 582.62 × 282.74
  4. Step 4: Simplify right side
    422.78x = 164,729.98
  5. Step 5: Solve for x
    x = 164,729.98/422.78
  6. Step 6: Final answer
    x = 389.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.